how do i hide /magento/ in my site's url?

[admin]

A site has an existing system (lets call it <em>mysite</em>)
and the client asks to put in magento.

My directory structure goes something like this:

ROOT       
   -index.php (this is the app's main controller)
   -.htaccess
   /blog (runs wordpress)
   /assets (current system's media folder)
   /magento (this is where all magento files go)

Problem is if I set up magento and specify in the installation that base URL is

http://example.com

, magento loads up <em>mysite</em>.

Leaves me no choice but to setup magento with base URL set to

http://example.com/magento/

and it runs perfectly.
However the client wants me to feel hell and asks me to hide magento in the URL.

I’m not really versed in .htaccess and I know only simple rewrite codes so I tried forwarding any HTTP requests that start with

/magento

to the <em>magento</em> folder and came up with:

RewriteCond %{REQUEST_URI} !^/magento(.*)
RewriteRule (.*) /magento/$1 [L]

Just when I thought it was working, <em>mysite</em> links all became unaccessible and forwards to the magento system displaying it's 404 page.

So, uhm, can I ask for help how to construct the .htaccess to hide the

/magento/

on the URLs without affecting the current system aka <em>mysite</em>?